In the two modified LQC models, mLQC-I and mLQC-II, since different regularizations of the Lorentzian term were used,
the resulting equations become the fourth-order and non-singular quantum difference equations, instead of
the second-order difference ones obtained in LQC. In these two models the big bang singularity is also generically resolved and replaced by a quantum bounce. In addition, the inflationary phase can naturally take place with a very high probability [1]}, [2]}, [3]}, [4]}, [5]}. In addition, the dynamics in LQC and mLQC-II is qualitatively similar in the whole evolution of the universe, while the one in mLQC-I becomes significantly different from LQC (as well as mLQC-II) in the contracting phase, in which an emergent quasi de Sitter space is present. This implies that the contracting phase in mLQC-I is purely a quantum regime without any classical limit A similar contracting branch is found in certain anisotropic models in the standard regularization of LQC (see for eg. [6]})..
